-3v^2+4v-7=-6v^2-7

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Solution for -3v^2+4v-7=-6v^2-7 equation: 


Simplifying
-3v2 + 4v + -7 = -6v2 + -7

Reorder the terms:
-7 + 4v + -3v2 = -6v2 + -7

Reorder the terms:
-7 + 4v + -3v2 = -7 + -6v2

Add '7' to each side of the equation.
-7 + 4v + 7 + -3v2 = -7 + 7 + -6v2

Reorder the terms:
-7 + 7 + 4v + -3v2 = -7 + 7 + -6v2

Combine like terms: -7 + 7 = 0
0 + 4v + -3v2 = -7 + 7 + -6v2
4v + -3v2 = -7 + 7 + -6v2

Combine like terms: -7 + 7 = 0
4v + -3v2 = 0 + -6v2
4v + -3v2 = -6v2

Solving
4v + -3v2 = -6v2

Solving for variable 'v'.

Combine like terms: -3v2 + 6v2 = 3v2
4v + 3v2 = -6v2 + 6v2

Combine like terms: -6v2 + 6v2 = 0
4v + 3v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(4 + 3v) = 0


Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

Move all terms containing v to the left, all other terms to the right.

Simplifying
v = 0

Subproblem 2
Set the factor '(4 + 3v)' equal to zero and attempt to solve:

Simplifying
4 + 3v = 0

Solving
4 + 3v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3v = 0 + -4
3v = 0 + -4

Combine like terms: 0 + -4 = -4
3v = -4

Divide each side by '3'.
v = -1.333333333

Simplifying
v = -1.333333333
Solution
v = {0, -1.333333333}

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